Evaluate square root of 448

$\sqrt{448}$

Step 1

Rewrite $448$ as $8^{2} \cdot 7$ .

Factor $64$ out of $448$ .

$\sqrt{64 (7)}$

Rewrite $64$ as $8^{2}$ .

$\sqrt{8^{2} \cdot 7}$

$\sqrt{8^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$8 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$8 \sqrt{7}$

Decimal Form:

$21.16601048 \dots$

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